10648187460 has 144 divisors (see below), whose sum is σ = 33116428800. Its totient is φ = 2768178432.

The previous prime is 10648187453. The next prime is 10648187467. The reversal of 10648187460 is 6478184601.

10648187460 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 187 + 460 = 666.

10648187460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10648187453) and next prime (10648187467).

It is a super-2 number, since 2×10648187460² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10648187467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2273401 + ... + 2278079.

It is an arithmetic number, because the mean of its divisors is an integer number (229975200).

Almost surely, 2^10648187460 is an apocalyptic number.

10648187460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10648187460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558214400).

10648187460 is an abundant number, since it is smaller than the sum of its proper divisors (22468241340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10648187460 is a wasteful number, since it uses less digits than its factorization.

10648187460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10648187460 in words is "ten billion, six hundred forty-eight million, one hundred eighty-seven thousand, four hundred sixty".